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Section 2-3

Solving Multi-Step Equations



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What You'll Learn

  1. To use the Distributive Property when combining like terms
  2. To use the Distributive Property when solving equations

… And Why

To solve a problem involving building a fence, as in Example 2


 
Objective 1

Solving Two-Step Equations


You can solve equations that require more than two steps. They are called multi-step equations. If there are like terms on one side of an equation, first use the Distributive Property to combine them. Then use the properties of equality to solve the equation.

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You use the Distributive Property whenever you add or subtract like terms.

distributive property


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Example 1 Combining Like Terms

Solve each equation.

solution to the equation

You can model real-world situations using multi-step equations.

Example 2 Real-World globe Connection

size of the garden

GardeningA gardener is planning a rectangular garden area in a community garden. His garden will be next to an existing 12-ft fence. The gardener has a total of 44 ft of fencing to build the other three sides of his garden. How long will the garden be if the width is 12 ft?

solution to how long the garden will be

Algebra 1 iText

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Chapter 2
Solving Equations